Sieving rational points on varieties
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
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Author
Browning, Timothy DISTA 
;
Loughran, Daniel
;
Loughran, DanielDepartment
Abstract
An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points.
Publishing Year
Date Published
2019-04-15
Journal Title
Transactions of the American Mathematical Society
Publisher
American Mathematical Society
Volume
371
Issue
8
Page
5757-5785
ISSN
eISSN
IST-REx-ID
Cite this
Browning TD, Loughran D. Sieving rational points on varieties. Transactions of the American Mathematical Society. 2019;371(8):5757-5785. doi:10.1090/tran/7514
Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514
Browning, Timothy D, and Daniel Loughran. “Sieving Rational Points on Varieties.” Transactions of the American Mathematical Society. American Mathematical Society, 2019. https://doi.org/10.1090/tran/7514.
T. D. Browning and D. Loughran, “Sieving rational points on varieties,” Transactions of the American Mathematical Society, vol. 371, no. 8. American Mathematical Society, pp. 5757–5785, 2019.
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” Transactions of the American Mathematical Society, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85, doi:10.1090/tran/7514.
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